There are two JB2000 transformers that I know of. One of them provides only 2200 Volts DC from the HV. That one was meant for the 'low-drive' version that had a single 8417 driver tube. This kept the anode voltage for that tiny driver tube down (!) to 1100 Volts. Never mind the spec sheet for that tube says max 500 Volts. Black Cat amplifiers are more about steroids and less about longevity.
The other version with the 80-10 meter band switch and the two Z tubes had a transformer produced between 2700 and 3000 Volts DC.
We put fixed bias on any Z that runs from more than 2200 Volts. A series string of rectifier diodes wired for forward bias gets you about 2/3 of a Volt per diode. A series sting of 30 diodes will hold the zero-signal current of a 3-500Z down to 10 or 20 mA with no drive.
Simple rule is to use one diode for every 100 Volts of anode supply. This makes life easier on the tube when used for AM. And if sideband is your main interest, a higher zero-signal current is not a problem, and will probably improve audio quality a bit. Having no bias at all with 2200 Volts is about right for sideband, and should be okay on AM unless you plan to gouge it.
One drawback is that putting bias on the tube raises the tube's input impedance. If the amplifier has just a capacitor between the input side of the relay and the tube's cathode, this will call for adding a matching circuit. The input impedance of an amplifier really should be as close to 50 ohms as you can make it. This also tends to improve stability as well.
And if it ain't broke once you have high voltage again, it might be time to stop fixing it.
Remember the rule of the shad tree: "If it ain't broke, keep fixing it until it is".
One last thought. The tube socket must have some air flow across it. Doesn't have to be a hurricane, a gentle breeze is fine. Without this, the socket tends to overheat the two pins feeding 5 Volts into the filament. When the solder melts, the tube is on a downhill roll that can't be halted. The tube pin with the melted solder now begins to produce even more heat, and will darken the shiny contact surface of the socket's spring contacts. This increases the resistance of the filament circuit, releasing even more heat to melt more solder from inside the tube pin.
Downhill snowball. When the bad tube finally just won't light up the filament any more and gets replaced the new tube goes bad fairly soon because of the burned spring contact in the socket. Now the socket gets replaced, but the bad tube gets put back in. Ruins the new socket, the tube goes dark and another good tube is put into the new, but damaged socket.
Lather, rinse, repeat.
A good tube with the solder still intact inside the pins and a socket with bright, shiny contact surfaces will be fine, but only with that breeze directed across the underside of the socket.
73